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Finding the Fourth Proportional to 8,204.76, 11,294.64 and 6,212.16

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Solution

The fourth proportional to 8,204.76, 11,294.64 and 6,212.16 is: 8,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.76 : 11,294.64 = 6,212.16 : x
  2. Step 2: Convert to fraction form
    8,204.76/11,294.64 = 6,212.16/x
  3. Step 3: Cross multiply
    8,204.76x = 11,294.64 × 6,212.16
  4. Step 4: Simplify right side
    8,204.76x = 70,164,110.82
  5. Step 5: Solve for x
    x = 70,164,110.82/8,204.76
  6. Step 6: Final answer
    x = 8,551.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.